Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem
We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary domain in $mathbb{R}^N$ with finite measure,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/26/abstr.html |